The Experts below are selected from a list of 396 Experts worldwide ranked by ideXlab platform
Zhang Qiang - One of the best experts on this subject based on the ideXlab platform.
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further discussion on the Hahn Decomposition theorem for signed fuzzy measure
Fuzzy Sets and Systems, 1995Co-Authors: Zhang QiangAbstract:Abstract This paper gives a counterexample that the union of two negative sets is not a negative set for signed fuzzy measure, showing that the proof of Theorem 2 in Liu (1993) is not valid. Furthermore, we provide a proof for the Hahn Decomposition theorem when the space X is countable or the signed fuzzy measure possess the property ( d ).
Liu Xuecheng - One of the best experts on this subject based on the ideXlab platform.
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Hahn Decomposition theorem for infinite signed fuzzy measure
Fuzzy Sets and Systems, 1993Co-Authors: Liu XuechengAbstract:Abstract This paper gives the Decomposition theorem for infinite signed fuzzy measure defined on a σ-ring.
Giuseppina Barbieri - One of the best experts on this subject based on the ideXlab platform.
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central elements in pseudo d lattices and Hahn Decomposition theorem
Bollettino Della Unione Matematica Italiana, 2010Co-Authors: Anna Avallone, Giuseppina Barbieri, Paolo VitoloAbstract:We prove a Hahn Decomposition theorem for modular measures on pseudo-D-lattices. As a consequence, we obtain a Uhl type theorem and a Kadets type theorem concerning compactness and convexity of the closure of the range.
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the Hahn Decomposition theorem for fuzzy measures and applications
Fuzzy Sets and Systems, 2001Co-Authors: Giuseppina Barbieri, Maria Antonietta Lepellere, Hans WeberAbstract:We deal with measures on Δ-l-semigroups, in particular on MV-algebras. Examples of such measures are T∞-valuations on clans of fuzzy sets. We first provide the Hahn Decomposition theorem for measures on Δ-l-semigroups. This is then used to obtain a representation theorem for such measures, which itself is a basic tool in the proof of Liapounoff type theorems.
Hans Weber - One of the best experts on this subject based on the ideXlab platform.
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the Hahn Decomposition theorem for fuzzy measures and applications
Fuzzy Sets and Systems, 2001Co-Authors: Giuseppina Barbieri, Maria Antonietta Lepellere, Hans WeberAbstract:We deal with measures on Δ-l-semigroups, in particular on MV-algebras. Examples of such measures are T∞-valuations on clans of fuzzy sets. We first provide the Hahn Decomposition theorem for measures on Δ-l-semigroups. This is then used to obtain a representation theorem for such measures, which itself is a basic tool in the proof of Liapounoff type theorems.
Zhao Fenxia - One of the best experts on this subject based on the ideXlab platform.
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Hahn Decomposition of signed fuzzy number valued measures on the fuzzy set
Journal of Liaoning Technical University, 2001Co-Authors: Zhao FenxiaAbstract:In this paper, we define a kind of signed fuzzy number-valued measures on the fuzzy set, which is based on an additive fuzzy measure introduced by Dan Butnariu and the theories of fuzzy limit and fuzzy distance of fuzzy numbers discussed by Zhang Guang-quan. Meanwhile, the positive set and the negative set of signed fuzzy number-valued measures are given, some properties of them are proved. And this makes necessary and sufficient condition being found, which is about the existence of Hahn Decomposition with respect to signed fuzzy number-valued measures.
